What is the Greatest Common Factor of 26129 and 26140?

Greatest common factor (GCF) of 26129 and 26140 is 1.

GCF(26129,26140) = 1

We will now calculate the prime factors of 26129 and 26140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26129 and 26140.

How to find the GCF of 26129 and 26140?

We will first find the prime factorization of 26129 and 26140. After we will calculate the factors of 26129 and 26140 and find the biggest common factor number .

Step-1: Prime Factorization of 26129

Prime factors of 26129 are 17, 29, 53. Prime factorization of 26129 in exponential form is:

26129 = 17¹ × 29¹ × 53¹

Step-2: Prime Factorization of 26140

Prime factors of 26140 are 2, 5, 1307. Prime factorization of 26140 in exponential form is:

26140 = 2² × 5¹ × 1307¹

Step-3: Factors of 26129

List of positive integer factors of 26129 that divides 26129 without a remainder.

1, 17, 29, 53, 493, 901, 1537

Step-4: Factors of 26140

List of positive integer factors of 26140 that divides 26129 without a remainder.

1, 2, 4, 5, 10, 20, 1307, 2614, 5228, 6535, 13070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26129 and 26140. The biggest common factor number is the GCF number.
So the greatest common factor 26129 and 26140 is 1.

Also check out the Least Common Multiple of 26129 and 26140